MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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State the randomized block ANOVA identity for degrees of freedom and interpret its meaning with regard to partitioning the total degrees of freedom in the data.
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- Suppose a researcher studied sleeping patterns in second-, fourth-, and sixth-grade children, and there were 7 students in each group, showing sleep periods in minutes below. Grade 2nd 4th 6th 580 525 562 570 575 532 594 497 565 543 478 537 552 517 525 506 455 493 537 532 490 Mean minutes participants slept 562.57 527.00 505.43 Suppose the researcher found significant ANOVA test result: the observed F statistic is 7.14 at alpha= .05 level, and the researcher made the decision to reject the null hypothesis. Finish up the ANOVA test with your interpretation in terms of the research question (you do not need to perform the test, just provide interpretation based the information available). Your interpretation: Given MSerror= 41, conduct the Tukey’s HSD post-hoc test to determine which groups differed significantly from one another. Include your calculation work, and show each comparison and state the outcome of each…arrow_forwardState the two-way ANOVA identity for degrees of freedom and interpret its meaning with regard to partitioning the total degrees of freedom in the data.arrow_forwardDefine the components of a well-designed experimental design (independent vs dependent variable, control vs experimental groups, sampling size, random assignment and blinded studies).arrow_forward
- 40 people are randomly sent to walk one of four trails. The time (in minutes) they spend completing each trail is recorded in the table below. (a) Test to see if the times needed to complete a trail vary. Use a 0.05 significance level. (b) Test each pair (A/B, A/C, A/D, B/C, B/D, C/D) to see which trails have a statistically significant difference. Indicate your p-value for each comparison, and when the effect is statistically significant (use 0.05 as your significance level), declare which trail of the two takes more time to complete. Trail A - 30, 33, 41, 27, 36, 31, 37, 40, 29, 35 Trail B - 27, 33, 38, 41, 40, 38, 35, 44, 41, 39 Trail C - 25, 34, 41, 39, 32, 30, 36, 35, 27, 33 Trail D - 41, 39, 46, 37, 40, 42, 50, 42, 50, 33, 47, 43arrow_forwardA researcher compares differences in positivity between participants in a low-, middle-, or upper-middle-class family. If she observes 15 participants in each group, then what are the degrees of freedom for the one-way between-subjects ANOVA?arrow_forwardState the three assumptions required for a randomized block ANOVA. How crucial are these assumptions?arrow_forward
- A large department store examined a sample of the 21 credit card sales and recorded the amounts charged for each of three types of credit cards: MasterCard, Visa, and Discover. Six MasterCard sales, seven Visa, and eight Discover sales were recorded. The store used an ANOVA to test if the mean sales for each credit card were equal. What are the degrees of freedom for the F statistic?arrow_forwardA sports researcher is interested in seeing if sports teams from the West Coast, Midwest, and East Coast fare differently in terms of the mean number of championships that they win. Each number below represents an individual observed sports team (X) that the researcher sampled. West Coast Midwest East Coast 7 2 11 3 4 9 Mwest = Mmid = Meast = nwest = nmid = neast = N = GM = Perform a one-way ANOVA to determine if there is a significant difference between regions in terms of the number of championships that teams win. 1. State the Main and Null Hypotheses. Assume alpha = .05 2. Find the critical F…arrow_forwardFor a randomized block ANOVA, suppose that the treatment Factor T has four levels and the blocking Factor B has eight levels. Given that SSTR = 900, SSBL = 700, and SSE = 210, construct the randomized block ANOVA table for the data.arrow_forward
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